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Finding the Third Proportional to 20,424.66 and 31,221.70

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Solution

The third proportional to 20,424.66 and 31,221.70 is: 47,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.66 : 31,221.70 = 31,221.70 : x
  2. Step 2: Convert to fraction form
    20,424.66/31,221.70 = 31,221.70/x
  3. Step 3: Cross multiply
    20,424.66x = 31,221.70 × 31,221.70
  4. Step 4: Simplify right side
    20,424.66x = 974,794,746.03
  5. Step 5: Solve for x
    x = 974,794,746.03/20,424.66
  6. Step 6: Final answer
    x = 47,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.